Question

How do you find the product of `(5c^3d)/(c^4d)*(f^2d^3c)/(10cf^4)`?

Answer 1

`= (5d^3)/(2cf^2)`

Explanation:

This is all one big term with number and variable factors.

• Cancel the numbers `(cancel5c^3d)/(c^4d) xx (f^2d^3c)/(cancel10^2cf^4)`

• Multiply the numerators and multiply the denominators by adding the indices of like bases to give one fraction:

`= (5c^4d^4f^2)/(2c^5df^4)`

• Divide by subtracting the indices of like bases so that the indices are left positive. (Big - small)

`= (5d^3)/(2cf^2)`